Graph each quadratic function. state the domain and range. g(x)=4x^2

The domain of this function is x = all real numbers.

The range of this function is that y ≥ 0.

To find the domain, you need to look for exclusions. The only numbers that you exclude are when you can't divide by 0 or have a negative square root. Since this problem has no square root symbol or fractions, it is all real numbers.

For the range, we need to find the smallest value of y. y can get no smaller in this problem than when x = 0. In that case y also = 0. Because the lead coefficient is positive (4), we know that the graph is increasing. Therefore, we know that y must always be bigger than 0.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation: